Front

What are coordinates in a Cartesian plane?

Back

Coordinates are a set of values that show an exact position. In a two-dimensional space, they are represented as (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Tags

CCSS.5.G.A.1

Front

How do you determine the distance between two points in a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is the relationship between the ages of Mark and Amber as given in the questions?

Back

The relationship is linear; Amber is always 4 years older than Mark.

Tags

CCSS.HSF-LE.A.1B

Front

How do you plot a point on a Cartesian plane?

Back

To plot a point, start at the origin (0,0). Move horizontally to the x-coordinate and then vertically to the y-coordinate.

Tags

CCSS.5.G.A.2

Front

What is the significance of the origin in a coordinate system?

Back

The origin is the point where the x-axis and y-axis intersect, represented as (0, 0). It serves as the reference point for all other points.

Tags

CCSS.5.G.A.1

Front

What does it mean to complete a table in relation to a graph?

Back

Completing a table involves filling in missing values that correspond to the x and y coordinates of a graph, allowing for a visual representation of the data.

Front

How can you find the midpoint between two points?

Back

The midpoint M between two points (x1, y1) and (x2, y2) is calculated as M = ((x1 + x2)/2, (y1 + y2)/2).

Tags

CCSS.HSG.GPE.B.6

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be graphically represented as a straight line, indicating a constant rate of change.

Tags

CCSS.HSF-LE.A.1B

Front

How do you interpret the slope of a line in a graph?

Back

The slope of a line represents the rate of change between the y-values and x-values. It is calculated as the rise over run (change in y/change in x).

Tags

CCSS.8.EE.B.5

Front

What is the purpose of matching a table to a graph?

Back

Matching a table to a graph helps to visualize the data and understand the relationship between the variables represented in the table.